 | Mathematics - 1913 - 692 pages
...ii, 1. In a former paper the writer gave three methods of proof of the celebrated proposition that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the legs (sides including the right angle). Other proofs are presented here... | |
 | University of South Africa - Universities and colleges - 1913 - 768 pages
...triangles or parallelograms of equal altitude are to one another as their bases. Right-angled Triangles: The square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the sides, and conversely. In a right-angled triangle, if a perpendicular... | |
 | Ontario. Dept. of Education - 1913 - 128 pages
...triangle. The complements of the parallelograms about the diagonal of any parallelogram are equal. The square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the sides. If a straight line be divided into any two parts, the sum of the... | |
 | Newfoundland Council of Higher Education - 1913 - 228 pages
...4. Calculate the magnitude of the angle of a regular polygon of eleven sides. (10) A 5. Prove that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides. A, B, C are three towns; B is 17 miles north of A ;... | |
 | Roy Balmer Liddy - Philosophy - 1914 - 156 pages
...geometry was placed upon a much firmer basis. To Pythagoras is ascribed the important theorem that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides. If the Egyptians had only known this in the special... | |
 | Ontario. Legislative Assembly - Ontario - 1914 - 998 pages
...triangle. The complements of the parallelograms about the diagonal of any parallelogram are equal. The square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the sides. If a straight line be divided into any two parts, the sum of the... | |
 | Jacob William Albert Young - 1914 - 232 pages
...side is 20 in., using 1.7321 as V3. 54. Find the side of an equilateral triangle, if h = 9V3 in. 55. The square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides. Express this relation in the form of an equation, using... | |
 | Charles Gerard White, Pitt Payson Colgrove - Arithmetic - 1916 - 368 pages
...cylinders are to each other as the cubes of the altitudes or as the cubes of the radii of the bases. 253. The square on the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. 254. The right angle of a right-angled triangle is 90°.... | |
 | Trinity College (Dublin, Ireland) - 1916 - 554 pages
...the triangle with the greater contained angle is greater than the base of the other. 2. Prove that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the remaining sides. 3. Prove thnt if a line AB is bisected in C and produced... | |
 | James Walker Downer - Classical education - 1916 - 58 pages
...college department. I then said, "Mr. Smith' will you please step to the board and prove for me that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares of the sides?" He looked at me in amazement and said that he could not do it... | |
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Guido, with a burnt stick in his hand, demonstrating on the smooth paving-stones of the path, that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides. 
